Input–Output Finite-Time Stability of Linear Systems: Necessary and Sufficient Conditions

IEEE Transactions on Automatic Control ◽

10.1109/tac.2012.2199151 ◽

2012 ◽

Vol 57 (12) ◽

pp. 3051-3063 ◽

Cited By ~ 78

Author(s):

F. Amato ◽

G. Carannante ◽

G. De Tommasi ◽

A. Pironti

Keyword(s):

Linear Systems ◽

Finite Time ◽

Sufficient Conditions ◽

Necessary And Sufficient Conditions ◽

Input Output ◽

Time Stability ◽

Finite Time Stability ◽

Necessary And Sufficient

Download Full-text

Necessary and sufficient conditions for input-output finite-time stability of impulsive dynamical systems

2015 American Control Conference (ACC) ◽

10.1109/acc.2015.7172281 ◽

2015 ◽

Author(s):

F. Amato ◽

G. De Tommasi ◽

A. Pironti

Keyword(s):

Dynamical Systems ◽

Finite Time ◽

Sufficient Conditions ◽

Necessary And Sufficient Conditions ◽

Input Output ◽

Time Stability ◽

Finite Time Stability ◽

Necessary And Sufficient

Download Full-text

Necessary and sufficient conditions for Input-Output Finite-Time stability of linear time-varying systems

IEEE Conference on Decision and Control and European Control Conference ◽

10.1109/cdc.2011.6160246 ◽

2011 ◽

Cited By ~ 3

Author(s):

F. Amato ◽

G. Carannante ◽

G. De Tommasi ◽

A. Pironti

Keyword(s):

Finite Time ◽

Linear Time ◽

Sufficient Conditions ◽

Necessary And Sufficient Conditions ◽

Time Varying ◽

Input Output ◽

Time Stability ◽

Finite Time Stability ◽

Time Varying Systems ◽

Necessary And Sufficient

Download Full-text

Necessary and sufficient conditions for finite-time stability of linear systems

Proceedings of the 2003 American Control Conference, 2003. ◽

10.1109/acc.2003.1240541 ◽

2004 ◽

Cited By ~ 37

Author(s):

F. Amato ◽

M. Ariola ◽

C. Cosentino ◽

C.T. Abdallah ◽

P. Dorato

Keyword(s):

Linear Systems ◽

Finite Time ◽

Sufficient Conditions ◽

Necessary And Sufficient Conditions ◽

Time Stability ◽

Finite Time Stability ◽

Necessary And Sufficient

Download Full-text

Necessary and sufficient conditions for finite-time stability of impulsive dynamical linear systems

Automatica ◽

10.1016/j.automatica.2013.04.004 ◽

2013 ◽

Vol 49 (8) ◽

pp. 2546-2550 ◽

Cited By ~ 102

Author(s):

F. Amato ◽

G. De Tommasi ◽

A. Pironti

Keyword(s):

Linear Systems ◽

Finite Time ◽

Sufficient Conditions ◽

Necessary And Sufficient Conditions ◽

Time Stability ◽

Finite Time Stability ◽

Necessary And Sufficient

Download Full-text

On necessary and sufficient conditions for output finite-time stability

Automatica ◽

10.1016/j.automatica.2020.109427 ◽

2021 ◽

Vol 125 ◽

pp. 109427

Author(s):

Konstantin Zimenko ◽

Denis Efimov ◽

Andrey Polyakov ◽

Artem Kremlev

Keyword(s):

Finite Time ◽

Sufficient Conditions ◽

Necessary And Sufficient Conditions ◽

Time Stability ◽

Finite Time Stability ◽

Necessary And Sufficient

Download Full-text

Input–output finite-time stabilization of impulsive linear systems: Necessary and sufficient conditions

Nonlinear Analysis Hybrid Systems ◽

10.1016/j.nahs.2015.08.005 ◽

2016 ◽

Vol 19 ◽

pp. 93-106 ◽

Cited By ~ 20

Author(s):

F. Amato ◽

G. De Tommasi ◽

A. Pironti

Keyword(s):

Linear Systems ◽

Finite Time ◽

Sufficient Conditions ◽

Necessary And Sufficient Conditions ◽

Input Output ◽

Finite Time Stabilization ◽

Necessary And Sufficient

Download Full-text

New necessary and sufficient conditions for finite-time stability of impulsive switched linear time-varying systems

IET Control Theory and Applications ◽

10.1049/iet-cta.2017.0252 ◽

2018 ◽

Vol 12 (1) ◽

pp. 140-148 ◽

Cited By ~ 12

Author(s):

Guopei Chen ◽

Ying Yang

Keyword(s):

Finite Time ◽

Linear Time ◽

Sufficient Conditions ◽

Necessary And Sufficient Conditions ◽

Time Varying ◽

Time Stability ◽

Finite Time Stability ◽

Time Varying Systems ◽

Necessary And Sufficient

Download Full-text

Sufficient Conditions for Robust Input-Output Finite-Time Stability of Linear Systems in Presence of Uncertainties

IFAC Proceedings Volumes ◽

10.3182/20110828-6-it-1002.02502 ◽

2011 ◽

Vol 44 (1) ◽

pp. 7643-7647

Author(s):

F. Amato ◽

C. Cosentino ◽

G. De Tommasi

Keyword(s):

Linear Systems ◽

Finite Time ◽

Sufficient Conditions ◽

Input Output ◽

Time Stability ◽

Finite Time Stability

Download Full-text

Input-output finite-time stability of linear systems

2009 17th Mediterranean Conference on Control and Automation ◽

10.1109/med.2009.5164564 ◽

2009 ◽

Cited By ~ 11

Author(s):

F. Amato ◽

R. Ambrosino ◽

C. Cosentino ◽

G. De Tommasi ◽

F. Montefusco

Keyword(s):

Linear Systems ◽

Finite Time ◽

Input Output ◽

Time Stability ◽

Finite Time Stability

Download Full-text

Decoupling zeros of positive continuous-time linear systems

Bulletin of the Polish Academy of Sciences Technical Sciences ◽

10.2478/bpasts-2013-0056 ◽

2013 ◽

Vol 61 (3) ◽

pp. 557-562 ◽

Cited By ~ 2

Author(s):

T. Kaczorek

Keyword(s):

Linear Systems ◽

Continuous Time ◽

Sufficient Conditions ◽

Necessary And Sufficient Conditions ◽

Input Output ◽

Necessary And Sufficient ◽

Time Linear

Abstract Necessary and sufficient conditions for the reachability and observability of the positive continuous-time linear systems are established. Definitions of the input-decoupling zeros, output-decoupling zeros and input-output decoupling zeros are proposed. Some properties of the decoupling zeros are discussed.

Download Full-text